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Finding the Fourth Proportional to 486.72, 730.14 and 162.30

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Solution

The fourth proportional to 486.72, 730.14 and 162.30 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.72 : 730.14 = 162.30 : x
  2. Step 2: Convert to fraction form
    486.72/730.14 = 162.30/x
  3. Step 3: Cross multiply
    486.72x = 730.14 × 162.30
  4. Step 4: Simplify right side
    486.72x = 118,501.72
  5. Step 5: Solve for x
    x = 118,501.72/486.72
  6. Step 6: Final answer
    x = 243.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.